Sharp inequalities for dyadic \(A_1\) weights

DOI10.1007/s00013-013-0537-9zbMath1435.42014OpenAlexW2114917249MaRDI QIDQ368507

Adam Osȩkowski

Publication date: 23 September 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0537-9

zbMATH Keywords

maximal operatorbest constants\(A_1\) weightdyadic

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (5)

Dyadic \(A_1\) weights and equimeasurable rearrangements of functions ⋮ The Gehring lemma: dimension free estimates ⋮ The $\boldsymbol {\mathrm {BMO}}\boldsymbol {\rightarrow }\boldsymbol {\mathrm {BLO}}$ action of the maximal operator on $\boldsymbol \alpha $-trees ⋮ On the embedding of 𝐴₁ into 𝐴_{∞} ⋮ Asymptotically sharp reverse Hoelder inequalities for flat Muckenhoupt weights

Cites Work

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• A SHARP $L^{\lowercase{p}}$ INEQUALITY FOR DYADIC $A_{1}$ WEIGHTS IN $\mathbb{R}^{\lowercase{n}}$
• Bellman Function and the $H^1-BMO$ Duality
• Weighted norm inequalities for maximal functions and singular integrals
• The Muckenhoupt class A₁(R)
• The sharp constant in the reverse Hölder inequality for Muckenhoupt weights
• Monge--Amp\`ere equation and Bellman optimization of Carleson Embedding Theorems

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